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A pediatrician wants to determine the relation that may exist between a child's height and head circumference. She randomly selects 5 children and measures their height and head oircumference. The data are summarized below. Complete parts (a) through () below. Height (inches), x Head Circumference (inches), | 27.75 20 20.75 27.5 250 17.0 17.3 17.3 17.5 10.0 (a) Treating height as the explanatory variable. x. use technology to determine the estimates of Po and P. Po bo (Round to four decimal places as needed.) Pb (Round to four decimal places as needed.) (b) Use technology to compute the standard error of the estimate. s, U (Round to four decimal places as needed.) (C) A normal probability plot suggests that the residuals are normally distributed. Use technology to determine s. , "0 (Round to four decimal places as needed.) (d) A normal probability plot suggests that the residuals are normally distributed. Test whether a linear relation exists between height and head circumference at the a0.01 level of significance. State the null and alternative hypotheses for this test. Choose the correct answer below. A. Ho P 0 H: , 0 OB. Họ: Po -0 H: Bo 0 OC. Ho: B, 0 OD. Họ: Po-0 Determine the Pvalue for this hypothesis test. P-value - (Round to three decimal places as needed.) hat is the usion that oan he drawn?

A pediatrician wants to determine the relation that may exist between a child's height and head circumference. She randomly selects 5 children and measures their height and head oircumference. The data are summarized below. Complete parts (a) through () below. Height (inches), x Head Circumference (inches), | 27.75 20 20.75 27.5 250 17.0 17.3 17.3 17.5 10.0 (a) Treating height as the explanatory variable. x. use technology to determine the estimates of Po and P. Po bo (Round to four decimal places as needed.) Pb (Round to four decimal places as needed.) (b) Use technology to compute the standard error of the estimate. s, U (Round to four decimal places as needed.) (C) A normal probability plot suggests that the residuals are normally distributed. Use technology to determine s. , "0 (Round to four decimal places as needed.) (d) A normal probability plot suggests that the residuals are normally distributed. Test whether a linear relation exists between height and head circumference at the a0.01 level of significance. State the null and alternative hypotheses for this test. Choose the correct answer below. A. Ho P 0 H: , 0 OB. Họ: Po -0 H: Bo 0 OC. Ho: B, 0 OD. Họ: Po-0 Determine the Pvalue for this hypothesis test. P-value - (Round to three decimal places as needed.) hat is the usion that oan he drawn?

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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What is the conclusion that can be drawn? O A. Do not reject H, and conclude that a linear relation does not exist between a child's height and head circumference at the level of significance a=0.01. (B. Reject Ho and conclude that a linear relation exists between a child's height and head circumference at the level of significance a = 0.01. Oc. Do not reject Hn and conclude that a linear relation exists between a child's height and head circumference at the level of significance a= 0.01. O D. Reject Ho and conclude that a linear relation does not exist between a child's height and head circumference at the level of significance a = 0.01. (e) Use technology to construct a 95% confidence interval about the slope of the true least-squares regression line. Lower bound: Upper bound: (Round to three decimal places as needed.) (f) Suppose a child has a height of 26.5 inches. What would be a good guess for the child's head circumference? A good estimate of the child's head circumference would be inches. (Round to two decimal places as needed.)
Transcribed Image Text:What is the conclusion that can be drawn? O A. Do not reject H, and conclude that a linear relation does not exist between a child's height and head circumference at the level of significance a=0.01. (B. Reject Ho and conclude that a linear relation exists between a child's height and head circumference at the level of significance a = 0.01. Oc. Do not reject Hn and conclude that a linear relation exists between a child's height and head circumference at the level of significance a= 0.01. O D. Reject Ho and conclude that a linear relation does not exist between a child's height and head circumference at the level of significance a = 0.01. (e) Use technology to construct a 95% confidence interval about the slope of the true least-squares regression line. Lower bound: Upper bound: (Round to three decimal places as needed.) (f) Suppose a child has a height of 26.5 inches. What would be a good guess for the child's head circumference? A good estimate of the child's head circumference would be inches. (Round to two decimal places as needed.)
A pediatrician wants to determine the relation that may exist between a child's height and head circumference. She randomly selects 5 children and measures their height and head circumference. The data are summarized below. Complete parts (a) through (f) below. Height (inches), x Head Circumference (inches), | 27.75 28 26.75 27.5 250 17.6 17.3 17.3 17.5 16.9 (a) Treating height as the explanatory variable, x, use technology to determine the estimates of Bo and B - Po bo = (Round to four decimal places as needed.) B1 sb1 = (Round to four decimal places as needed.) (b) Use technology compute the standard error of the estimate, s- s. =(Round to four decimal places as needed.) (c) A normal probability plot suggests that the residuals are normally distributed. Use technology to determine sb. - (Round to four decimal places as needed.) (d) A normal probability plot suggests that the residuals are normally distributed. Test whether a linear relation exists between height and head circumference at the a= 0.01 level of significance. State the null and alternative hypotheses for this test. Choose the correct answer below. A. Hp: B, -0 H: B, *0 O B. Ho: Po = 0 H: Bo #0 OC. Ho: B, =0 H: B1 > 0 OD. Ho: Po =0 H: Bo >0 Determine the P-value for this hypothesis test. P-value = (Round to three decimal places as needed.) What is the conclusion that can be drawn?
Transcribed Image Text:A pediatrician wants to determine the relation that may exist between a child's height and head circumference. She randomly selects 5 children and measures their height and head circumference. The data are summarized below. Complete parts (a) through (f) below. Height (inches), x Head Circumference (inches), | 27.75 28 26.75 27.5 250 17.6 17.3 17.3 17.5 16.9 (a) Treating height as the explanatory variable, x, use technology to determine the estimates of Bo and B - Po bo = (Round to four decimal places as needed.) B1 sb1 = (Round to four decimal places as needed.) (b) Use technology compute the standard error of the estimate, s- s. =(Round to four decimal places as needed.) (c) A normal probability plot suggests that the residuals are normally distributed. Use technology to determine sb. - (Round to four decimal places as needed.) (d) A normal probability plot suggests that the residuals are normally distributed. Test whether a linear relation exists between height and head circumference at the a= 0.01 level of significance. State the null and alternative hypotheses for this test. Choose the correct answer below. A. Hp: B, -0 H: B, *0 O B. Ho: Po = 0 H: Bo #0 OC. Ho: B, =0 H: B1 > 0 OD. Ho: Po =0 H: Bo >0 Determine the P-value for this hypothesis test. P-value = (Round to three decimal places as needed.) What is the conclusion that can be drawn?
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